7423947632640 has 1248 divisors, whose sum is σ = 31919473039104. Its totient is φ = 1451784929280.

The previous prime is 7423947632627. The next prime is 7423947632659. The reversal of 7423947632640 is 462367493247.

It is a super-2 number, since 2×7423947632640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562968127 + ... + 562981313.

Almost surely, 2^{7423947632640} is an apocalyptic number.

7423947632640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7423947632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959736519552).

7423947632640 is an abundant number, since it is smaller than the sum of its proper divisors (24495525406464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7423947632640 is a wasteful number, since it uses less digits than its factorization.

7423947632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13261 (or 13232 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 57.

The spelling of 7423947632640 in words is "seven trillion, four hundred twenty-three billion, nine hundred forty-seven million, six hundred thirty-two thousand, six hundred forty".